应力函数

The interrelations of flow stress and strain rate can be described by a hyperbolic sine function for 7075z aluminum alloy during the process of high temperature deformation.

其高温塑性变形过程中的流变应力与应变速率之间可用双曲正弦函数来描述。

The large deformation for incompressibility rubber cylinder under inner pressure is considered by a kind of new rubber materials strain energy function.

针对一类新的橡胶材料应变能函数，推导了受内压作用下不可压缩橡胶圆柱的大变形公式，给出了位移、应力的解析表达式。

Molecular dynamics simulation was carried out to study transformation pseudoelasticity in NiAl alloy with a initial B2 structure, using EAM type interatomic potential for NiAl.

利用NiAl合金的嵌入原子势，进行了B2结构NiAl单晶中相变伪弹性的分子动力学模拟模拟过程中系统的径向分布函数和键连线原子分布图的变化表明，在外加拉应力的作用下，B2结构的奥氏体向L10结构的马氏体转变，马氏体在长大过程中发生了变体间的转化与合并，不同取向的变体之间由于自协调效应形成共格的孪晶界面。

The correlative coefficients of linear regression function for isochronous stress-strain curve are all higher than 0.92, and the ratio of long-term strength to instantaneous strength reaches 94.39%, which indicate that the whole creep of fine sandstone specimen is weak.

应力－应变等时曲线线性回归函数的相关系数均高于0.92，长期强度与瞬时强度之比达94.39%，证明细砂岩试样的整体蠕变特性不强。

In the paper, the relation between stress and strain of transverse isotropic material and isotropic material is deduced.

用对张量函数求导的方法导出了横观各向同性材料和各向同性材料的应力应变关系式的一般形式。

First of all, the structural analysis under the action of random loads is carried out and the mean value and variance of all joint's displacement and bar's stress in the structure are obtained by means of three fundamental equations (equilibrium, physical and geometric) in structural mechanics, as well as the property of moment of random variable.

通过引入可靠性安全系数，并利用结构力学的三个基本方程，将结构的位移和杆件应力可靠性约束等价显示化为设计变量的线性函数，使原基于可靠性的优化模型转化为常规的序列线性规划问题，利用修正的单纯形法求解。

By using the conformal mapping technique and the Laurent series expansion, a group of equations to predict effective bulk modulus and transverse shear modulus of multiphase fiber composites was obtained.

通过解析函数的保角变换与罗朗级数展开，获得了相应问题的解。根据复合材料平均应力与应变关系，获得了混杂纤维复合材料横向剪切模量和体积模量的预测公式。

This project studies the scale-dependent deformation behavior of the metal matrix composite, the void nucleation and void growth mechanisms at the micron/submicron scale. The main results are:(1) In prophase, growth and coalescence of the void embedded in the graded matrix are analyzed in detailed;(2) Based on the infinite solid model containing a micro-void, coupling effects of the void shape and the void size on the void growth are studied carefully, the results show that it seems to exist a critical equivalent void radius, which is associated with the material length. When radius of a microvoid is close to or smaller than the critical void radius, the micro-void growth rate is essentially eliminated;(3) The coupling effects of the particle shape and size on the mesoscopic stress fields within the particle and matrix are also investigated by introducing the conception of inclusion/matrix interfacial energy. The results show that the stress concentration factors within the particle and on the matrix/particle interface are also strongly size-dependent,so the void nucleation mechanism is size-dependent.(4) By employing a specific orthogonal curve coordinate frame and a 'kernel function' conception, a 'unified method'solving the spheriodal and spherical void problems is suggested; by this unified method, size-dependent plastic potentials of the porous materials containing the spheriodal or spherical voids are obtained, which extend the traditional Gurson model for the spherical void and GLD model for the spheriodal voids to the micron scale.(5) Based on the RVE model containing the spheriodal or spherical particles, the influences of the particle shape and size on the size-dependent mechanical behavior of metal matrix composite are studied.

中文摘要：本项目对金属基复合材料在微细观尺度下的尺度相关变形行为、孔洞形核及长大的机理和模型进行了研究，取得了如下主要结果：1）在前期研究中，探讨了基体的梯度分布对孔洞长大和聚合的影响；2）基于含孔洞的无限大体模型，探讨了孔洞形状和孔洞尺寸对其长大的耦合作用，结果表明：可能存在一个与材料特征长度相关的临界孔洞尺寸，当椭球孔洞的等效半径小于临界孔洞半径时，孔洞的长大受到明显抑制；3）通过引入基体/夹杂界面能的概念，分析了夹杂尺寸、夹杂形状对材料细观应力场的耦合影响，结果表明：颗粒内部和界面上的应力集中因子强烈地依赖于夹杂的尺寸和形状，因此，孔洞的形核机理是尺寸相关的；4）采用一种特殊的正交曲线坐标系和引入"核函数"的概念，"统一"地得到了含椭球和球形孔洞的材料的尺寸相关塑性势，它将传统的Gurson球形孔洞模型和GLD椭球孔洞模型推广到微尺度范围；5）基于含椭球和球形夹杂的体胞模型，初步研究了夹杂形状、夹杂尺寸对金属基复合材料尺寸相关力学行为的影响。

The reliability formulas that forces, intensities and subordinate function are normal distribution were gotten.

推导并整理了应力强度以及隶属度函数都为正态分布时的可靠度计算公式。

With k-ε turbulent model and wall function presented by Launder and Spalding, numerical results of viscous resistance coefficient, isoplethic maps of velocity and stress contributions are obtained.

采用 紊流模式及Launder和Spalding提出的壁函数进行数值模拟，得到了该双尾船船体粘性阻力及速度、切应力的等值线分布等结果。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。